Despite the problems with
unsound reasoning, most of us (or everyone!) who use such reasoning will
still require that our unsound inferences be reliable to some
unspecified degree. There'd be no point otherwise.
Zero reliability would
make unsound reasoning useless. Alternatively, 100% reliability is
impossible. Thus the reliability ratio may be, at times, somewhere in
the middle.
This reliability of
unsound inferences is sometimes expressed in terms of the reliability
of predictions; the explanatory power of its conclusions; whether or
not it relies on false, true or unknown assumptions; and what the
precise status of the observations utilised are. (E.g., are they
good, bad, clear or unclear?)
What also matters with unsound reasonings is the power and utility of the conclusions derived from them. Do unsound inferences and conclusions help us in any way? Are they practical? And so on.
No prediction is foolproof. Who knows what the future may bring? Even predictions about future necessities are philosophically problematic to many philosophers.
No prediction is foolproof. Who knows what the future may bring? Even predictions about future necessities are philosophically problematic to many philosophers.
Of course inductive
reasoning must rely on observations; though that doesn’t stop the
inductivist asking questions about the nature and status of his or
other people’s observations. How were they experienced? Can we
trust those who had them? Was the observational equipment working
correctly at the time? Is the observer biased? What assumptions did
the observer bring to his observations? What previous
observations were required in order to make sense of the observations
we're now commenting upon? Were they genuine observations at all? And
so on.
There's another way of
saying that certain correct/valid forms of reasoning don't lead us to
truths. This doesn’t entirely matter because they're still valid/correct (if not sound).
If we observe ten white
swans, it's largely correct to infer that swans are white.
However, the statement “All swans are white” is still unsound.
That is, it's possible that there may be black swans. In addition,
the means used to come to that conclusion didn't depend on deductive
inferences and the premises might included past observations; not
axiomatic truths or deductively-derived premises.
What other kinds
of unsound reasoning are there?
The inductive form is
simply one of generalisation. This is something that's of vital
importance not just to science and philosophy, but to everyday life
as well.
One observes a finite
numbers of objects or events, and from that finite (or limited)
amount one generalises about what will probably be the case with all
other unobserved objects or events. Without such generalisations,
we'd need to wait until we'd observed every example (or sample) of
the thing in question. This would be impossible to do (in most cases)
in a finite amount of time.
Of course mistakes are
made when we generalise, as every scientist knows. However, it's
still impossible to do without generalisations, both within
philosophy and without. Even those philosophers who claim never to
generalise do so. In fact that very claim is a generalisation and
it's also false.
There are dangers which result
from generalising, not just in philosophy.
For example, “All
blacks are criminals”, “No blacks are criminals”, “Hegel is a
generaliser” and so on. However, never generalising would also be
very problematic. Or at least it would be if anyone actually completely abstained from generalising.
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